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Finding the Fourth Proportional to 7,109.14, 9,810.07 and 3,922.56

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Solution

The fourth proportional to 7,109.14, 9,810.07 and 3,922.56 is: 5,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.14 : 9,810.07 = 3,922.56 : x
  2. Step 2: Convert to fraction form
    7,109.14/9,810.07 = 3,922.56/x
  3. Step 3: Cross multiply
    7,109.14x = 9,810.07 × 3,922.56
  4. Step 4: Simplify right side
    7,109.14x = 38,480,647.34
  5. Step 5: Solve for x
    x = 38,480,647.34/7,109.14
  6. Step 6: Final answer
    x = 5,412.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.